Table $1\mathrm{.}4$The Green Battery Company manufactures lithium ion batteries. The current process uses $20$ workers and produces $50$ units per hour. You are considering changing the process with new automated technologies that increase output to $75$ units per hour, but will require $22$ workers. Particulars are as follows:Workers are paid at a rate of $$15$ per hour, and overhead is charged at $150\%($or $1\mathrm{.}5$ times$)$ labor costs. Finished batteries sell for $$220/$ unit.Use the information provided in Table $1\mathrm{.}4.$a$.$ Calculate the multifactor productivity for the current process.b$.$ Calculate the multifactor productivity for the new process.c$.$ Determine if the new process should be implemented.